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Author : Lars Kadison
Publisher : American Mathematical Soc.
Page : 84 pages
File Size : 45,8 Mb
Release : 1999
Category : Mathematics
ISBN : 9780821819623
The 14th volume in an inexpensive softcover series designed for students especially.
Author : Mercedes Siles Molina,Laiachi El Kaoutit,Mohamed Louzari,L'Moufadal Ben Yakoub,Mohamed Benslimane
Publisher : Springer Nature
Page : 338 pages
File Size : 53,6 Mb
Release : 2020-01-02
Category : Mathematics
ISBN : 9783030352561
This book gathers together selected contributions presented at the 3rd Moroccan Andalusian Meeting on Algebras and their Applications, held in Chefchaouen, Morocco, April 12-14, 2018, and which reflects the mathematical collaboration between south European and north African countries, mainly France, Spain, Morocco, Tunisia and Senegal. The book is divided in three parts and features contributions from the following fields: algebraic and analytic methods in associative and non-associative structures; homological and categorical methods in algebra; and history of mathematics. Covering topics such as rings and algebras, representation theory, number theory, operator algebras, category theory, group theory and information theory, it opens up new avenues of study for graduate students and young researchers. The findings presented also appeal to anyone interested in the fields of algebra and mathematical analysis.
Author : Dinh Van Huynh,International conference on algebra and its applications,Surender Kumar Jain
Publisher : American Mathematical Soc.
Page : 586 pages
File Size : 48,7 Mb
Release : 2000
Category : Algebra
ISBN : 9780821819500
Among all areas of mathematics, algebra is one of the best suited to find applications within the frame of our booming technological society. The thirty-eight articles in this volume encompass the proceedings of the International Conference on Algebra and Its Applications (Athens, OH, 1999), which explored the applications and interplay among the disciplines of ring theory, linear algebra, and coding theory. The presentations collected here reflect the dialogue between mathematicians involved in theoretical aspects of algebra and mathematicians involved in solving problems where state-of-the-art research tools may be used and applied. This Contemporary Mathematics series volume communicates the potential for collaboration among those interested in exploring the wealth of applications for abstract algebra in fields such as information and coding. The expository papers would serve well as supplemental reading in graduate seminars.
Author : Tomasz Brzezinski,José Luis Gomez-Pardo,Ivan Shestakov,Patrick F. Smith
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 44,8 Mb
Release : 2008-06-26
Category : Mathematics
ISBN : 9783764387426
The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006. The conference was dedicated to Robert Wisbauer on the occasion of his 65th birthday. These articles reflect Professor Wisbauer's wide interests and give an overview of different fields related to module theory. While some of these fields have a long tradition, others represented here have emerged in recent years.
Author : Abdenacer Makhlouf,Eugen Paal,Sergei D. Silvestrov,Alexander Stolin
Publisher : Springer
Page : 680 pages
File Size : 55,5 Mb
Release : 2014-06-17
Category : Mathematics
ISBN : 9783642553615
This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011. Organized in the four areas of algebra, geometry, dynamical symmetries and conservation laws and mathematical physics and applications, the book covers deformation theory and quantization; Hom-algebras and n-ary algebraic structures; Hopf algebra, integrable systems and related math structures; jet theory and Weil bundles; Lie theory and applications; non-commutative and Lie algebra and more. The papers explore the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond. The book benefits a broad audience of researchers and advanced students.
Author : Daniel Bulacu,Stefaan Caenepeel,Florin Panaite,Freddy Van Oystaeyen
Publisher : Cambridge University Press
Page : 545 pages
File Size : 51,8 Mb
Release : 2019-02-21
Category : Mathematics
ISBN : 9781108427012
This self-contained book dedicated to Drinfeld's quasi-Hopf algebras takes the reader from the basics to the state of the art.
Author : A. Granja,J.A. Hermida Alonso,A Verschoren
Publisher : CRC Press
Page : 366 pages
File Size : 49,8 Mb
Release : 2001-05-08
Category : Mathematics
ISBN : 0203907965
Focuses on the interaction between algebra and algebraic geometry, including high-level research papers and surveys contributed by over 40 top specialists representing more than 15 countries worldwide. Describes abelian groups and lattices, algebras and binomial ideals, cones and fans, affine and projective algebraic varieties, simplicial and cellular complexes, polytopes, and arithmetics.
Author : Yorck Sommerhäuser,Yongchang Zhu
Publisher : American Mathematical Soc.
Page : 134 pages
File Size : 49,6 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821869130
The authors prove that the kernel of the action of the modular group on the center of a semisimple factorizable Hopf algebra is a congruence subgroup whenever this action is linear. If the action is only projective, they show that the projective kernel is a congruence subgroup. To do this, they introduce a class of generalized Frobenius-Schur indicators and endow it with an action of the modular group that is compatible with the original one.
Author : Leonid Vainerman
Publisher : Walter de Gruyter
Page : 256 pages
File Size : 46,6 Mb
Release : 2008-08-22
Category : Mathematics
ISBN : 9783110200058
The book contains seven refereed research papers on locally compact quantum groups and groupoids by leading experts in the respective fields. These contributions are based on talks presented on the occasion of the meeting between mathematicians and theoretical physicists held in Strasbourg from February 21 to February 23, 2002. Topics covered are: various constructions of locally compact quantum groups and their multiplicative unitaries; duality theory for locally compact quantum groups; combinatorial quantization of flat connections associated with SL(2,c); quantum groupoids, especially coming from Depth 2 Extensions of von Neumann algebras, C*-algebras and Rings. Many mathematical results are motivated by problems in theoretical physics. Historical remarks set the results presented in perspective. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume will give an overview of a field of research in which great progress has been achieved in the last few years, with new ties to many other areas of mathematics and physics.
Author : Lev Sabinin,Larissa Sbitneva,Ivan Shestakov
Publisher : CRC Press
Page : 553 pages
File Size : 52,8 Mb
Release : 2006-01-13
Category : Mathematics
ISBN : 9781420003451
With contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences.
Author : M. Hazewinkel
Publisher : Elsevier
Page : 592 pages
File Size : 41,6 Mb
Release : 2009-07-08
Category : Mathematics
ISBN : 0080932819
Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source of information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes
Author : Tomasz Brzezinski,Robert Wisbauer
Publisher : Cambridge University Press
Page : 492 pages
File Size : 45,5 Mb
Release : 2003-09-15
Category : Mathematics
ISBN : 0521539315
This is the first extensive treatment of the theory of corings and their comodules. In the first part, the module-theoretic aspects of coalgebras over commutative rings are described. Corings are then defined as coalgebras over non-commutative rings. Topics covered include module-theoretic aspects of corings, such as the relation of comodules to special subcategories of the category of modules (sigma-type categories), connections between corings and extensions of rings, properties of new examples of corings associated to entwining structures, generalisations of bialgebras such as bialgebroids and weak bialgebras, and the appearance of corings in non-commutative geometry.
Author : Vassily Olegovich Manturov
Publisher : CRC Press
Page : 528 pages
File Size : 48,7 Mb
Release : 2018-04-17
Category : Mathematics
ISBN : 9781351359122
Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the A-polynomial which give rise to strong invariants of knots and 3-manifolds, in particular, many new unknot detectors. New to this Edition is a discussion of Heegaard-Floer homology theory and A-polynomial of classical links, as well as updates throughout the text. Knot Theory, Second Edition is notable not only for its expert presentation of knot theory’s state of the art but also for its accessibility. It is valuable as a profes-sional reference and will serve equally well as a text for a course on knot theory.
Author : Antonio Giambruno
Publisher : CRC Press
Page : 369 pages
File Size : 50,5 Mb
Release : 2006-01-20
Category : Mathematics
ISBN : 9781420010961
This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes f
Author : Ben Elias,Shotaro Makisumi,Ulrich Thiel,Geordie Williamson
Publisher : Springer Nature
Page : 588 pages
File Size : 45,7 Mb
Release : 2020-09-26
Category : Mathematics
ISBN : 9783030488260
This book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. On the one hand, these bimodules are fairly elementary objects and explicit calculations are possible. On the other, they have deep connections to Lie theory and geometry. Taking these two aspects together, they offer a wonderful primer on geometric representation theory. In this book the reader is introduced to the theory through a series of lectures, which range from the basics, all the way to the latest frontiers of research. This book serves both as an introduction and as a reference guide to the theory of Soergel bimodules. Thus it is intended for anyone who wants to learn about this exciting field, from graduate students to experienced researchers.
